q-Supercongruences from Jackson's <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mmultiscripts><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow><mml:none/><mml:mprescripts/><mml:mrow><mml:mn>8</mml:mn></mml:mrow><mml:none/></mml:mmultiscripts></mml:math> summation and Watson's <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mmultiscripts><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow><mml:none/><mml:mprescripts/><mml:mrow><mml:mn>8</mml:mn></mml:mrow><mml:none/></mml:mmultiscripts></mml:math> transformation-Reference-Cited by-同舟云学术

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q-Supercongruences from Jackson's ϕ78 summation and Watson's ϕ78 transformation

Published:2024-05 Issue: Volume:204 Page:105853
ISSN:0097-3165
Container-title:Journal of Combinatorial Theory, Series A
language:en
Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Wei Chuanan

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Reference18 articles.

1. Basic Hypergeometric Series;Gasper,2004

2. q-Analogues of the (E.2) and (F.2) supercongruences of Van Hamme;Guo;Ramanujan J.,2019

3. An extension of a supercongruence of Long and Ramakrishna;Guo;Proc. Am. Math. Soc.,2023

4. A family of q-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial;Guo;Isr. J. Math.,2020

5. Some q-supercongruences from transformation formulas for basic hypergeometric series;Guo;Constr. Approx.,2021

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Proof of two conjectures of Guo and of Tang;Journal of Mathematical Analysis and Applications;2025-01

2. Proof of some conjectures of Guo and of Tang;Forum Mathematicum;2024-05-15

3. Some q-supercongruences from a q-analogue of Watson's ₃ F ₂ summation;Forum Mathematicum;2024-03-26

4. q-supercongruences from Watson's ₈φ₇ transformation;Forum Mathematicum;2024-02-20

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